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Simplifying (4x + -5y + 3z) + (-4x + 5y + 3z) = 0 Remove parenthesis around (4x + -5y + 3z) 4x + -5y + 3z + (-4x + 5y + 3z) = 0 Remove parenthesis around (-4x + 5y + 3z) 4x + -5y + 3z + -4x + 5y + 3z = 0 Reorder the terms: 4x + -4x + -5y + 5y + 3z + 3z = 0 Combine like terms: 4x + -4x = 0 0 + -5y + 5y + 3z + 3z = 0 -5y + 5y + 3z + 3z = 0 Combine like terms: -5y + 5y = 0 0 + 3z + 3z = 0 3z + 3z = 0 Combine like terms: 3z + 3z = 6z 6z = 0 Solving 6z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '6'. z = 0 Simplifying z = 0
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